I have found that using a little dab of Autoglym resin polish, you can lift the dead bugs by a gentle polish of that area.
I have had literally minutes of fun playing "guess the insect" from the splats on the front of the car. I had a yellow and black striped splat on one headlight after a summer blast up the A1. Nice.
Tar-spot remover sometimes says it is for bugs too. Apparently insect cadavers do corrode your paint (no doubt due to something in their blood).
Alloy wheel cleaner must definitely NOT be used on paintwork: it is concentrated acid and will eat through the paint like Nitromors! I only use the acid wheel cleaner very occasionally, I usually use the remnants in the bucket and a cloth to give them a quick wash, brings them up just as shiny (although my wheels never get bothered by brake dust, it never bakes on or corrodes mine.)